12961620 has 168 divisors, whose sum is σ = 47007744. Its totient is φ = 2939328.

The previous prime is 12961607. The next prime is 12961621. The reversal of 12961620 is 2616921.

12961620 is a `hidden beast` number, since 1 + 29 + 616 + 20 = 666.

12961620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12961621) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 101997 + ... + 102123.

It is an arithmetic number, because the mean of its divisors is an integer number (279808).

Almost surely, 2^12961620 is an apocalyptic number.

12961620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12961620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23503872).

12961620 is an abundant number, since it is smaller than the sum of its proper divisors (34046124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12961620 is a wasteful number, since it uses less digits than its factorization.

12961620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12961620 is about 3600.2249929692. The cubic root of 12961620 is about 234.9018452315.

It can be divided in two parts, 1296 and 1620, that added together give a square (2916 = 54²).

The spelling of 12961620 in words is "twelve million, nine hundred sixty-one thousand, six hundred twenty".